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The present paper addresses the optimal heat release (HR) law in a single cylinder engine operated under reactivity controlled compression ignition (RCCI) combustion mode to minimise the indicated specific fuel consumption (ISFC) subject to different constraints including pressure related limits (maximum cylinder pressure and maximum cylinder pressure gradient).With this aim,a 0-dimensional (0D) engine combustion model has been identified with experimental data.Then,the optimal control problem of minimising the ISFC of the engine at different operating conditions of the engine operating map has been stated and analytically solved.To evaluate the method viability a data-driven model is developed to obtain the control actions (gasoline fraction) leading to the calculated optimal HR,more precisely to the optimal ratio between premixed and diffusive combustion.The experimental results obtained with such controls and the differences with the optimal HR are finally explained and discussed.